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3D Point Set Registration of Chinese Calligraphy

机译:3D点设置中国书法的登记

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This paper presents an innovative method to align two handwritten Chinese characters modeled by three-dimensionalpoint sets. A piecewise cubic Bézier curve is first defined for each character stroke, interpolating the 2D sample points.The density of sample points is then adjusted along the curve for even distribution. Later all 2D points are extended into3D space to integrate additional geometry information. Registration is then performed between two 3D point sets usingGaussian Mixture Model (GMM). This paper establishes the registration by minimizing the Euclidean Distance(L2)between two GMMs and then apply transformation accordingly. The key idea of this process is to include extrageometric information of the calligraphy to facilitate the registration process, using simple algorithms. Through thealignment and transformation process, the global layout of character is adjusted, but with local features retained. Thistechnique can be applied in the morphing and beautification of Chinese calligraphy.
机译:本文介绍了一种创新方法,可以对齐由三维建模的两个手写汉字点集。首先为每个字符笔划定义分段立方体Bézier曲线,内插2D采样点。然后沿着曲线调节采样点的密度,以甚至分布。后来所有2D点都延伸到3D空间集成额外的几何信息。然后在两个3D点集之间执行注册高斯混合模型(GMM)。本文通过最小化欧几里德距离来建立注册(L2)在两个GMM之间,然后相应地应用转换。这个过程的关键概念是包括额外的书法的几何信息,以方便注册过程,使用简单的算法。通过对齐和转换过程,调整全局字符布局,但保留了本地功能。这个技术可应用于中国书法的变形和美化。

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